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113421441961 = 61255212
BaseRepresentation
bin110100110100001110…
…0011101101110101001
3101211202112110020101201
41221220130131232221
53324241342120321
6124034411044201
711123455230622
oct1515034355651
9354675406351
10113421441961
11441134a10a3
1219b94740661
13a9072bc589
1456bd772a49
152e3c688291
hex1a6871dba9

113421441961 has 9 divisors (see below), whose sum is σ = 115332181029. Its totient is φ = 111541867200.

The previous prime is 113421441929. The next prime is 113421441997. The reversal of 113421441961 is 169144124311.

The square root of 113421441961 is 336781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 61792513561 + 51628928400 = 248581^2 + 227220^2 .

It is not a de Polignac number, because 113421441961 - 25 = 113421441929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113421441961.

It is not an unprimeable number, because it can be changed into a prime (113421441911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20540881 + ... + 20546401.

It is an arithmetic number, because the mean of its divisors is an integer number (12814686781).

Almost surely, 2113421441961 is an apocalyptic number.

113421441961 is the 336781-st square number.

113421441961 is the 168391-st centered octagonal number.

It is an amenable number.

113421441961 is a deficient number, since it is larger than the sum of its proper divisors (1910739068).

113421441961 is an frugal number, since it uses more digits than its factorization.

113421441961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11164 (or 5582 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The spelling of 113421441961 in words is "one hundred thirteen billion, four hundred twenty-one million, four hundred forty-one thousand, nine hundred sixty-one".

Divisors: 1 61 3721 5521 336781 20543641 30481441 1859367901 113421441961